Frontiers in Games and Dynamic Games Theory, Applications, and Numerical Methods

Preface
	References
Acknowledgments
Contents
Contributors
Part I Cooperative Dynamic Games (Plenary Lectures)
	Dynamically Stable Cooperative Provision of Public Goods Under Non-transferable Utility
		1 Introduction
		2 Theoretical Framework of Public Goods Provision
			2.1 Pareto Optimality and Individual Rationality under Cooperation
			2.2 The Core and Dynamically Stable Subcore
			2.3 Dynamically Stable Subcore with Variable Weights
		3 An NTU Differential Game of Public Goods Provision
		4 Cooperative Scheme: Constant Payoff Weight Case
			4.1 Optimal Cooperative Trajectories
			4.2 Individual Payoff Under Cooperation
			4.3 Dynamically Stable Core
		5 Variable Payoff Weights Scheme
		6 Concluding Remarks
		A.1 Proof of Proposition 3.1
		B.1 Proof of Proposition 4.1
		C.1 Proof of Proposition 4.3
		References
	Strongly Time-Consistent Solutions in CooperativeDynamic Games
		1 What Is Strongly Time-Consistency?
			1.1 Cooperative Differential Game
			1.2 Transformation of Characteristic Function
		2 Repeated Games
			2.1 Associated Zero-Sum Games
			2.2 Multistage Games
			2.3 Time-Consistency and Strongly Time-Consistency
		References
Part II Stackelberg Games
	Incentive Stackelberg Games for Stochastic Systems
		1 Introduction
		2 The Basic Concept of Incentive Stackelberg Game
		3 Incentive Stackelberg Game with One Leader and Multiple Followers
			3.1 Definitions and Preliminaries
			3.2 Problem Formulation
			3.3 Main Results
			3.4 Infinite-Horizon Case
			3.5 Numerical Example
		4 Incentive Stackelberg Games for a Class of Markovian Jump Linear Stochastic Systems
			4.1 Preliminary Results
			4.2 Problem Formulation
			4.3 Main Results
			4.4 Leader's Nash Equilibrium Strategy
			4.5 Follower's Nash Equilibrium Strategy
			4.6 Follower's Pareto Optimal Strategy
			4.7 Numerical Example
			4.8 Incentive Possibility
		5 Static Output Feedback Case
			5.1 Preliminary Results
			5.2 Problem Formulation
			5.3 Main Results
				5.3.1 Leader's Pareto Optimal Strategy
				5.3.2 Follower's Pareto Optimal Strategy
		6 Incentive Stackelberg Strategy for Stochastic LPV Systems
			6.1 Preliminary Results
			6.2 Problem Formulation
			6.3 Main Results
			6.4 Numerical Algorithm for Solving CCMIs
			6.5 Numerical Example
		7 Conclusion
		References
	Social and Private Interests Coordination Engines in Resource Allocation: System Compatibility, Corruption, and Regional Development
		1 Introduction
		2 SPICE-Models and Conditions of System Compatibility
			2.1 SPICE-Models with Two Agents
				2.1.1 Independence
				2.1.2 Hierarchy
				2.1.3 Cooperation
			2.2 SPICE-Models with Several Agents
		3 Control Mechanisms of System Compatibility
			3.1 Economic Mechanisms
			3.2 Administrative Mechanisms
		4 Corruption in SPICE-Models
			4.1 Economic Corruption in SPICE-Models
			4.2 Administrative Corruption in SPICE-Models
		5 SPICE-Models in the Regional Development
			5.1 Administrative Control Mechanisms
			5.2 Economic Control Mechanisms
			5.3 Mechanisms of Resource Allocation
		6 Conclusion
		References
Part III Games on Graphs and Networks
	A Multi-Stage Model of Searching for Two Mobile Objectson a Graph
		1  Problem Statement and Notation
		2 Single-Stage Game
		3 Multi-stage Game
		4 Existence of Equilibrium
		5 Solution for a Single-Stage Game
		6 Solution of the Game for a Linear Graph
		7 Solution for a Two-Stage Game
		8 Solution for a Multi-stage Game
		9 Solution for a Single-Stage Game with an Arbitrary Detection Probability
		References
	The Impact of Product Differentiation on Symmetric R&D Networks
		1 Introduction
		2 The Model
		3 Cournot Competition
		4 Bertrand Competition
		5 Comparison of Cournot and Bertrand Equilibria
		6 Conclusion
		Appendix 1
			Proof of Lemma 1
			Proof of Lemma 2
			Proof of Proposition 1
			Proof of Proposition 2
			Proof of Proposition 3
			Proof of Proposition 4
			Proof of Proposition 3
			Proof of Proposition 9
		Appendix 2
		References
Part IV Numerical Methods in Games and Dynamic Games
	A Global Optimization Approach to Nonzero Sum Six-Person Game
		1 Introduction
		2 Nonzero Sum n-Person Game
		3 The Curvilinear Multistart Algorithm
		4 Computational Experiments
		References
	An Infinite-Horizon Mean Field Game of Growth and Capital Accumulation: A Markov Chain Approximation Numerical Scheme and Its Challenges
		1 Introduction
		2 Mean Field Games of Growth and Capital Accumulation
		3 Solution
		4 Markov Chain Approximation Scheme
		5 Concluding Remarks
		References